Question

PLZ HELP ME PLZZZ 15 PTS Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain.

Answer 1

Answer:

He made a reasonable inference.

Step-by-step explanation:

Rodriguez asked 60 randomly chosen students about their favorite types of reading materials.

Of those 60 students, 12 chose science fiction.

In percent this is about $\frac{12}{60}\times100= 20$%

Mr. Rodriguez drew an inference that about 20% of middle school students prefer to read science fiction.

We can see that this inference is correct. He made a reasonable inference as his sampling was non biased and completely random.

Answer 2

Answer:

Mr. Rodriguez made a reasonable inference. His sampling was random, nonbiased, and reasonably large compared to the school population. 12 is 20% of 60.